249299352 has 96 divisors (see below), whose sum is σ = 701064000. Its totient is φ = 79971840.

The previous prime is 249299299. The next prime is 249299359. The reversal of 249299352 is 253992942.

249299352 is a `hidden beast` number, since 2 + 4 + 9 + 299 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 249299298 and 249299307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249299359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232674 + ... + 233742.

It is an arithmetic number, because the mean of its divisors is an integer number (7302750).

Almost surely, 2^249299352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249299352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350532000).

249299352 is an abundant number, since it is smaller than the sum of its proper divisors (451764648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249299352 is a wasteful number, since it uses less digits than its factorization.

249299352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1194 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 249299352 is about 15789.2163200078. The cubic root of 249299352 is about 629.3714668652.

The spelling of 249299352 in words is "two hundred forty-nine million, two hundred ninety-nine thousand, three hundred fifty-two".